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A simple proof of the extension theorem of sequences of divided powers in characteristic $p$

A simple proof of the extension theorem of sequences of divided powers in characteristic $p$

Using the idea of relative Hopf modules, a short proof of the extension theorem of sequences of divided powers in irreducible cocommutative Hopf algebras over a field of characteristic <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p greater-than 0"> <mml:semantics> <mml:mrow> <mml:mi>p</mml:mi> <mml:mo>&gt;</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> <mml:annotation encoding="application/x-tex">p &gt; 0</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is …